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350628240 = 24351460951
BaseRepresentation
bin10100111001100…
…010100110010000
3220102202202112010
4110321202212100
51204230100430
654443102520
711455201524
oct2471424620
9812682463
10350628240
1116aa14206
1299511a40
1357846141
14347d1d84
1520baecb0
hex14e62990

350628240 has 40 divisors (see below), whose sum is σ = 1086948288. Its totient is φ = 93500800.

The previous prime is 350628233. The next prime is 350628263. The reversal of 350628240 is 42826053.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 350628198 and 350628207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730236 + ... + 730715.

Almost surely, 2350628240 is an apocalyptic number.

350628240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350628240 is an abundant number, since it is smaller than the sum of its proper divisors (736320048).

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

350628240 is a wasteful number, since it uses less digits than its factorization.

350628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460967 (or 1460961 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 350628240 is about 18725.0698263051. The cubic root of 350628240 is about 705.1512778330.

The spelling of 350628240 in words is "three hundred fifty million, six hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1460951 2921902 4382853 5843804 7304755 8765706 11687608 14609510 17531412 21914265 23375216 29219020 35062824 43828530 58438040 70125648 87657060 116876080 175314120 350628240