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342556416 = 2832157947
BaseRepresentation
bin10100011010101…
…111111100000000
3212212120200001200
4110122233330000
51200143301131
653554101200
711326452516
oct2432577400
9785520050
10342556416
11166400784
129687a800
1355c7b107
14336d04b6
15201182e6
hex146aff00

342556416 has 108 divisors (see below), whose sum is σ = 995015112. Its totient is φ = 113338368.

The previous prime is 342556387. The next prime is 342556421. The reversal of 342556416 is 614655243.

342556416 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 5 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361255 + ... + 362201.

Almost surely, 2342556416 is an apocalyptic number.

342556416 is a gapful number since it is divisible by the number (36) 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 342556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497507556).

342556416 is an abundant number, since it is smaller than the sum of its proper divisors (652458696).

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

342556416 is a wasteful number, since it uses less digits than its factorization.

342556416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1109 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 342556416 is about 18508.2796607356. The cubic root of 342556416 is about 699.6981120008.

The spelling of 342556416 in words is "three hundred forty-two million, five hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 576 628 768 942 947 1152 1256 1413 1884 1894 2304 2512 2826 2841 3768 3788 5024 5652 5682 7536 7576 8523 10048 11304 11364 15072 15152 17046 20096 22608 22728 30144 30304 34092 40192 45216 45456 60288 60608 68184 90432 90912 120576 121216 136368 148679 180864 181824 242432 272736 297358 361728 363648 446037 545472 594716 727296 892074 1090944 1189432 1338111 1784148 2181888 2378864 2676222 3568296 4757728 5352444 7136592 9515456 10704888 14273184 19030912 21409776 28546368 38061824 42819552 57092736 85639104 114185472 171278208 342556416