Search a number
-
+
3415280946 = 2371113753959
BaseRepresentation
bin1100101110010001…
…0000110100110010
322211000110020200220
43023210100310302
523443302442241
61322521153510
7150430260210
oct31344206462
98730406626
103415280946
1114a2923140
127b392b896
134257462cc
14245827cb0
1514ec75166
hexcb910d32

3415280946 has 64 divisors (see below), whose sum is σ = 8578344960. Its totient is φ = 880594560.

The previous prime is 3415280933. The next prime is 3415280959. The reversal of 3415280946 is 6490825143.

It is an interprime number because it is at equal distance from previous prime (3415280933) and next prime (3415280959).

It is a super-2 number, since 2×34152809462 = 23328287880221309832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3415280898 and 3415280907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36315 + ... + 90273.

It is an arithmetic number, because the mean of its divisors is an integer number (134036640).

Almost surely, 23415280946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415280946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289172480).

3415280946 is an abundant number, since it is smaller than the sum of its proper divisors (5163064014).

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

3415280946 is a wasteful number, since it uses less digits than its factorization.

3415280946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54119.

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3415280946 is about 58440.4050807316. The cubic root of 3415280946 is about 1505.9439626492.

The spelling of 3415280946 in words is "three billion, four hundred fifteen million, two hundred eighty thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 137 154 231 274 411 462 822 959 1507 1918 2877 3014 4521 5754 9042 10549 21098 31647 53959 63294 107918 161877 323754 377713 593549 755426 1133139 1187098 1780647 2266278 3561294 4154843 7392383 8309686 12464529 14784766 22177149 24929058 44354298 51746681 81316213 103493362 155240043 162632426 243948639 310480086 487897278 569213491 1138426982 1707640473 3415280946