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3434020040 = 2351131251761
BaseRepresentation
bin1100110010101110…
…1111110011001000
322212022201021220102
43030223233303020
524013102120130
61324430544532
7151045455143
oct31453576310
98768637812
103434020040
1115024620a0
127ba068148
134295a7829
1424810505a
15151727645
hexccaefcc8

3434020040 has 64 divisors (see below), whose sum is σ = 8700894720. Its totient is φ = 1208448000.

The previous prime is 3434020013. The next prime is 3434020049. The reversal of 3434020040 is 400204343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3434019994 and 3434020021.

It is not an unprimeable number, because it can be changed into a prime (3434020049) 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, 112241 + ... + 139520.

It is an arithmetic number, because the mean of its divisors is an integer number (135951480).

Almost surely, 23434020040 is an apocalyptic number.

It is an amenable number.

3434020040 is an abundant number, since it is smaller than the sum of its proper divisors (5266874680).

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

3434020040 is a wasteful number, since it uses less digits than its factorization.

3434020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251814 (or 251810 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3434020040 is about 58600.5122844502. The cubic root of 3434020040 is about 1508.6932307934.

Adding to 3434020040 its reverse (400204343), we get a palindrome (3834224383).

The spelling of 3434020040 in words is "three billion, four hundred thirty-four million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 251761 503522 1007044 1258805 2014088 2517610 2769371 5035220 5538742 7804591 10070440 11077484 13846855 15609182 22154968 27693710 31218364 39022955 55387420 62436728 78045910 85850501 110774840 156091820 171701002 312183640 343402004 429252505 686804008 858505010 1717010020 3434020040