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334040070 = 235713373307
BaseRepresentation
bin10011111010010…
…000110000000110
3212021112222211110
4103322100300012
51141003240240
653051345450
711164202520
oct2372206006
9767488743
10334040070
11161614281
1293a52286
1354288960
1432514a10
151e4d4c80
hex13e90c06

334040070 has 128 divisors (see below), whose sum is σ = 1013677056. Its totient is φ = 68553216.

The previous prime is 334040053. The next prime is 334040071. The reversal of 334040070 is 70040433.

It is a super-2 number, since 2×3340400702 = 223165536731209800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334040071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99357 + ... + 102663.

It is an arithmetic number, because the mean of its divisors is an integer number (7919352).

Almost surely, 2334040070 is an apocalyptic number.

334040070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334040070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506838528).

334040070 is an abundant number, since it is smaller than the sum of its proper divisors (679636986).

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

334040070 is a wasteful number, since it uses less digits than its factorization.

334040070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3374.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 334040070 is about 18276.7631160444. The cubic root of 334040070 is about 693.8509522760.

The spelling of 334040070 in words is "three hundred thirty-four million, forty thousand, seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3307 3367 3885 4810 6614 6734 7215 7770 9921 10101 14430 16535 16835 19842 20202 23149 33070 33670 42991 46298 49605 50505 69447 85982 99210 101010 115745 122359 128973 138894 214955 231490 244718 257946 300937 347235 367077 429910 601874 611795 644865 694470 734154 856513 902811 1223590 1289730 1504685 1590667 1713026 1805622 1835385 2569539 3009370 3181334 3670770 4282565 4514055 4772001 5139078 7953335 8565130 9028110 9544002 11134669 12847695 15906670 22269338 23860005 25695390 33404007 47720010 55673345 66808014 111346690 167020035 334040070