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342896640 = 212355581
BaseRepresentation
bin10100011100000…
…011000000000000
3212220012221202120
4110130003000000
51200240143030
654005244240
711332400442
oct2434030000
9786187676
10342896640
11166613359
1296a03680
1356069c28
143377c492
1520184010
hex14703000

342896640 has 104 divisors (see below), whose sum is σ = 1097331888. Its totient is φ = 91422720.

The previous prime is 342896639. The next prime is 342896641. The reversal of 342896640 is 46698243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (342896639) and next prime (342896641).

It is a junction number, because it is equal to n+sod(n) for n = 342896592 and 342896601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342896641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58650 + ... + 64230.

Almost surely, 2342896640 is an apocalyptic number.

342896640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548665944).

342896640 is an abundant number, since it is smaller than the sum of its proper divisors (754435248).

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

342896640 is an equidigital number, since it uses as much as digits as its factorization.

342896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 342896640 is about 18517.4685094912. The cubic root of 342896640 is about 699.9296800109.

The spelling of 342896640 in words is "three hundred forty-two million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 5581 6144 7680 10240 11162 12288 15360 16743 20480 22324 27905 30720 33486 44648 55810 61440 66972 83715 89296 111620 133944 167430 178592 223240 267888 334860 357184 446480 535776 669720 714368 892960 1071552 1339440 1428736 1785920 2143104 2678880 2857472 3571840 4286208 5357760 5714944 7143680 8572416 10715520 11429888 14287360 17144832 21431040 22859776 28574720 34289664 42862080 57149440 68579328 85724160 114298880 171448320 342896640