Search a number
-
+
3498709248 = 28331926641
BaseRepresentation
bin1101000010001010…
…0001000100000000
3100000211102211211000
43100202201010000
524131132143443
61335101252000
7152462352336
oct32042410400
910024384730
103498709248
111535a26051
12817864000
13439b06c78
14252943b56
151572548d3
hexd08a1100

3498709248 has 144 divisors (see below), whose sum is σ = 10891249600. Its totient is φ = 1104814080.

The previous prime is 3498709243. The next prime is 3498709309. The reversal of 3498709248 is 8429078943.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3498709194 and 3498709203.

It is not an unprimeable number, because it can be changed into a prime (3498709241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118008 + ... + 144648.

Almost surely, 23498709248 is an apocalyptic number.

3498709248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3498709248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445624800).

3498709248 is an abundant number, since it is smaller than the sum of its proper divisors (7392540352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3498709248 is a wasteful number, since it uses less digits than its factorization.

3498709248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26685 (or 26665 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3498709248 is about 59149.8879796065. The cubic root of 3498709248 is about 1518.1078209281.

The spelling of 3498709248 in words is "three billion, four hundred ninety-eight million, seven hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 26641 32832 43776 53282 65664 79923 106564 131328 159846 213128 239769 319692 426256 479538 506179 639384 719307 852512 959076 1012358 1278768 1438614 1518537 1705024 1918152 2024716 2557536 2877228 3037074 3410048 3836304 4049432 4555611 5115072 5754456 6074148 6820096 7672608 8098864 9111222 10230144 11508912 12148296 13666833 15345216 16197728 18222444 20460288 23017824 24296592 27333666 30690432 32395456 36444888 46035648 48593184 54667332 61380864 64790912 72889776 92071296 97186368 109334664 129581824 145779552 184142592 194372736 218669328 291559104 388745472 437338656 583118208 874677312 1166236416 1749354624 3498709248