Search a number
-
+
30400440 = 2335736191
BaseRepresentation
bin111001111110…
…1111110111000
32010012111120020
41303331332320
530240303230
63003330440
7516254010
oct163757670
963174506
1030400440
1116184334
12a220a20
1363b5335
144074c40
152a07810
hex1cfdfb8

30400440 has 64 divisors (see below), whose sum is σ = 104232960. Its totient is φ = 6948480.

The previous prime is 30400423. The next prime is 30400451. The reversal of 30400440 is 4400403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17256 + ... + 18935.

It is an arithmetic number, because the mean of its divisors is an integer number (1628640).

Almost surely, 230400440 is an apocalyptic number.

30400440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30400440 is an abundant number, since it is smaller than the sum of its proper divisors (73832520).

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

30400440 is a wasteful number, since it uses less digits than its factorization.

30400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36212 (or 36208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30400440 is about 5513.6594018855. The cubic root of 30400440 is about 312.0996558710.

Adding to 30400440 its reverse (4400403), we get a palindrome (34800843).

The spelling of 30400440 in words is "thirty million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 36191 72382 108573 144764 180955 217146 253337 289528 361910 434292 506674 542865 723820 760011 868584 1013348 1085730 1266685 1447640 1520022 2026696 2171460 2533370 3040044 3800055 4342920 5066740 6080088 7600110 10133480 15200220 30400440