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34331321040 = 2435647221093
BaseRepresentation
bin11111111110010011…
…100110001011010000
310021121121102210211220
4133332103212023100
51030302304233130
623434355205040
72323522261662
oct377623461320
9107547383756
1034331321040
11136181546a5
1267a15a6780
13331182c963
1419397a6532
15d5dee8410
hex7fe4e62d0

34331321040 has 80 divisors (see below), whose sum is σ = 106592070528. Its totient is φ = 9140827648.

The previous prime is 34331321029. The next prime is 34331321047. The reversal of 34331321040 is 4012313343.

It is a tau number, because it is divible by the number of its divisors (80).

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 34331321040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331321047) 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, 44734 + ... + 265826.

Almost surely, 234331321040 is an apocalyptic number.

34331321040 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 34331321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53296035264).

34331321040 is an abundant number, since it is smaller than the sum of its proper divisors (72260749488).

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

34331321040 is a wasteful number, since it uses less digits than its factorization.

34331321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221756 (or 221750 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34331321040 its reverse (4012313343), we get a palindrome (38343634383).

The spelling of 34331321040 in words is "thirty-four billion, three hundred thirty-one million, three hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 647 1294 1941 2588 3235 3882 5176 6470 7764 9705 10352 12940 15528 19410 25880 31056 38820 51760 77640 155280 221093 442186 663279 884372 1105465 1326558 1768744 2210930 2653116 3316395 3537488 4421860 5306232 6632790 8843720 10612464 13265580 17687440 26531160 53062320 143047171 286094342 429141513 572188684 715235855 858283026 1144377368 1430471710 1716566052 2145707565 2288754736 2860943420 3433132104 4291415130 5721886840 6866264208 8582830260 11443773680 17165660520 34331321040