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3430042440 = 23351123112979
BaseRepresentation
bin1100110001110010…
…0100101101001000
322212001020012122220
43030130210231020
524011042324230
61324205414040
7150666610506
oct31434445510
98761205586
103430042440
111500195720
127b886a320
13428814216
1424778b676
151511ddd10
hexcc724b48

3430042440 has 128 divisors (see below), whose sum is σ = 11713766400. Its totient is φ = 795365120.

The previous prime is 3430042439. The next prime is 3430042457. The reversal of 3430042440 is 442400343.

It is a happy number.

It is a super-2 number, since 2×34300424402 = 23530382280402307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3430042440.

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, 26130 + ... + 86849.

It is an arithmetic number, because the mean of its divisors is an integer number (91513800).

Almost surely, 23430042440 is an apocalyptic number.

3430042440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3430042440 is an abundant number, since it is smaller than the sum of its proper divisors (8283723960).

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

3430042440 is a wasteful number, since it uses less digits than its factorization.

3430042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113027 (or 113023 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3430042440 is about 58566.5641812801. The cubic root of 3430042440 is about 1508.1105030108.

Adding to 3430042440 its reverse (442400343), we get a palindrome (3872442783).

The spelling of 3430042440 in words is "three billion, four hundred thirty million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 112979 225958 338937 451916 564895 677874 903832 1129790 1242769 1355748 1694685 2259580 2485538 2598517 2711496 3389370 3728307 4519160 4971076 5197034 6213845 6778740 7456614 7795551 9942152 10394068 12427690 12992585 13557480 14913228 15591102 18641535 20788136 24855380 25985170 28583687 29826456 31182204 37283070 38977755 49710760 51970340 57167374 62364408 74566140 77955510 85751061 103940680 114334748 142918435 149132280 155911020 171502122 228669496 285836870 311822040 343004244 428755305 571673740 686008488 857510610 1143347480 1715021220 3430042440